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Submission #427230

# Submission time Handle Problem Language Result Execution time Memory
427230 2021-06-14T13:30:42 Z keko37 The Xana coup (BOI21_xanadu) C++14
100 / 100
 149 ms 24340 KB 
#include<bits/stdc++.h>

using namespace std;

typedef long long llint;
typedef pair <int, int> pi;

const int MAXN = 100005;

int n;
llint dp[MAXN][2][2], par[MAXN], col[MAXN];
vector <int> v[MAXN];

void dfs (int x, int rod) {
    par[x] = rod;
    for (auto sus : v[x]) {
        if (sus != rod) dfs(sus, x);
    }
}

llint calc (int x, int f, int p) {
    if (dp[x][f][p] != -1) return dp[x][f][p];
    llint res = 1e9;
    llint sum = 0, br = 0, mn = 1e9;
    for (auto sus : v[x]) {
        if (sus == par[x]) continue;
        llint a = calc(sus, 0, f);
        llint b = calc(sus, 1, f);
        sum += min(a, b);
        if (b <= a) br ^= 1;
        mn = min(mn, abs(a - b));
    }
    if (br != f ^ p ^ col[x]) res = sum + mn; else res = sum;
    res += f;
    return dp[x][f][p] = res;
}

int main () {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    memset(dp, -1, sizeof dp);
    cin >> n;
    for (int i = 0; i < n-1; i++) {
        int a, b;
        cin >> a >> b;
        v[a].push_back(b);
        v[b].push_back(a);
    }
    for (int i = 1; i <= n; i++) {
        cin >> col[i];
    }
    dfs(1, 0);
    llint sol = min(calc(1, 0, 0), calc(1, 1, 0));
    if (sol >= 1e9) cout << "impossible"; else cout << sol;
    return 0;
}

Compilation message

xanadu.cpp: In function 'llint calc(int, int, int)':
xanadu.cpp:33:12: warning: suggest parentheses around comparison in operand of '^' [-Wparentheses]
   33 |     if (br != f ^ p ^ col[x]) res = sum + mn; else res = sum;
      |         ~~~^~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5708 KB Output is correct
2 Correct 3 ms 5708 KB Output is correct
3 Correct 4 ms 5800 KB Output is correct
4 Correct 4 ms 5800 KB Output is correct
5 Correct 3 ms 5708 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5708 KB Output is correct
2 Correct 3 ms 5708 KB Output is correct
3 Correct 4 ms 5800 KB Output is correct
4 Correct 4 ms 5800 KB Output is correct
5 Correct 3 ms 5708 KB Output is correct
6 Correct 4 ms 5708 KB Output is correct
7 Correct 4 ms 5708 KB Output is correct
8 Correct 3 ms 5708 KB Output is correct
9 Correct 3 ms 5708 KB Output is correct
10 Correct 5 ms 5704 KB Output is correct
11 Correct 4 ms 5832 KB Output is correct
12 Correct 4 ms 5804 KB Output is correct
13 Correct 3 ms 5708 KB Output is correct
14 Correct 4 ms 5708 KB Output is correct
15 Correct 5 ms 5708 KB Output is correct
16 Correct 3 ms 5708 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 103 ms 24216 KB Output is correct
2 Correct 97 ms 23944 KB Output is correct
3 Correct 139 ms 24340 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 24132 KB Output is correct
2 Correct 95 ms 23940 KB Output is correct
3 Correct 107 ms 24328 KB Output is correct
4 Correct 89 ms 11180 KB Output is correct
5 Correct 113 ms 11588 KB Output is correct
6 Correct 125 ms 11716 KB Output is correct
7 Correct 5 ms 5804 KB Output is correct
8 Correct 41 ms 7812 KB Output is correct
9 Correct 89 ms 11804 KB Output is correct
10 Correct 119 ms 11904 KB Output is correct
11 Correct 149 ms 12716 KB Output is correct
12 Correct 122 ms 12912 KB Output is correct
13 Correct 93 ms 11452 KB Output is correct
14 Correct 107 ms 11820 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5708 KB Output is correct
2 Correct 3 ms 5708 KB Output is correct
3 Correct 4 ms 5800 KB Output is correct
4 Correct 4 ms 5800 KB Output is correct
5 Correct 3 ms 5708 KB Output is correct
6 Correct 4 ms 5708 KB Output is correct
7 Correct 4 ms 5708 KB Output is correct
8 Correct 3 ms 5708 KB Output is correct
9 Correct 3 ms 5708 KB Output is correct
10 Correct 5 ms 5704 KB Output is correct
11 Correct 4 ms 5832 KB Output is correct
12 Correct 4 ms 5804 KB Output is correct
13 Correct 3 ms 5708 KB Output is correct
14 Correct 4 ms 5708 KB Output is correct
15 Correct 5 ms 5708 KB Output is correct
16 Correct 3 ms 5708 KB Output is correct
17 Correct 103 ms 24216 KB Output is correct
18 Correct 97 ms 23944 KB Output is correct
19 Correct 139 ms 24340 KB Output is correct
20 Correct 98 ms 24132 KB Output is correct
21 Correct 95 ms 23940 KB Output is correct
22 Correct 107 ms 24328 KB Output is correct
23 Correct 89 ms 11180 KB Output is correct
24 Correct 113 ms 11588 KB Output is correct
25 Correct 125 ms 11716 KB Output is correct
26 Correct 5 ms 5804 KB Output is correct
27 Correct 41 ms 7812 KB Output is correct
28 Correct 89 ms 11804 KB Output is correct
29 Correct 119 ms 11904 KB Output is correct
30 Correct 149 ms 12716 KB Output is correct
31 Correct 122 ms 12912 KB Output is correct
32 Correct 93 ms 11452 KB Output is correct
33 Correct 107 ms 11820 KB Output is correct
34 Correct 5 ms 5724 KB Output is correct
35 Correct 4 ms 5800 KB Output is correct
36 Correct 5 ms 5800 KB Output is correct
37 Correct 4 ms 5708 KB Output is correct
38 Correct 4 ms 5796 KB Output is correct
39 Correct 4 ms 5760 KB Output is correct
40 Correct 4 ms 5708 KB Output is correct
41 Correct 4 ms 5708 KB Output is correct
42 Correct 5 ms 5800 KB Output is correct
43 Correct 4 ms 5700 KB Output is correct
44 Correct 4 ms 5708 KB Output is correct
45 Correct 84 ms 24260 KB Output is correct
46 Correct 89 ms 23920 KB Output is correct
47 Correct 85 ms 24340 KB Output is correct
48 Correct 95 ms 11176 KB Output is correct
49 Correct 114 ms 11820 KB Output is correct
50 Correct 103 ms 11848 KB Output is correct
51 Correct 4 ms 5932 KB Output is correct
52 Correct 36 ms 7848 KB Output is correct
53 Correct 146 ms 11784 KB Output is correct
54 Correct 90 ms 11968 KB Output is correct
55 Correct 93 ms 12708 KB Output is correct
56 Correct 114 ms 13124 KB Output is correct
57 Correct 95 ms 11440 KB Output is correct
58 Correct 112 ms 11736 KB Output is correct
59 Correct 26 ms 7792 KB Output is correct
60 Correct 94 ms 11204 KB Output is correct
61 Correct 100 ms 11796 KB Output is correct
62 Correct 129 ms 11900 KB Output is correct
63 Correct 104 ms 11844 KB Output is correct
64 Correct 88 ms 11896 KB Output is correct
65 Correct 87 ms 12452 KB Output is correct
66 Correct 86 ms 12364 KB Output is correct
67 Correct 77 ms 12200 KB Output is correct
68 Correct 92 ms 12176 KB Output is correct
69 Correct 84 ms 12124 KB Output is correct
70 Correct 89 ms 12188 KB Output is correct